Analemmic tellurian globe



5 Sheets-She@ l W. H. HALL ANALEMMIC TELLUR IAN GLOBE Filed April 27, 1954 Dec.. M, 1931i:

lll IIiIIIHIl Dec. M? w. H. am;

ANALEMMIC TELLURIAN GLOBE Filed April 27, 1954 5 Sheets-Sheet 2 fo Q Si @zia/w W. H. HALL Dec. 14, 1937.

ANALEMMIC TELLURIAN GLOBE Filed April 27, 1934 5 Sheets-Sheet 3 M; 393K W. H, HALL 11629413 l ANALEMMIC TELLURIAN GLOBE Filed April 27, 1934 5 SheeJLS-Sheet L Dec. 14, l937. w. H.. HALL ANALEMMIC TELLURIAN GLOBE Filed April 27, 1954 5 Sheets-Sheet 5 Patented Dec. 14, 1937 UNITED STATES PATENT` OFFICE 20 Claims.

This invention relates to an analemmic tellurian apparatus which includes a terrestrial globe and mechanism for moving it relatively to an imaginary sun and to fixed and movable indexes 5 for illustrating in various positions of the movement certain phenomena of the relationships existing between the sun and the earth during the diurnal rotation of the earth and its annual revolution about the sun.

This invention enables one quickly to set the apparatus to show the position of the earth in the rays of the sun on any day, hour or minute of the entire year, and, without reference to other sources of information, demonstrate, illustrate 15 or ascertain in a plain understandable way various important and interesting phenomena such as those enumerated below.

The places of sunrise and sunset for any day and hour of the year.

The time of sunrise or sunset at any place on any day o the year.

The beginning of each day on the earth and its beginning at any place on the earth.

The advance of the new day around the world.

The areas on the earths surface where differently named week days are existent.

The simultaneous beginning, duration and end of opposite seasons in the northern and southern hemispheres.

The amount oi the equation of time for each day.

The six months day or night in the polar regions.

The duration of long and short days.

5 The times and places at which the midnight sun can oe seen.

The signs of the zodiac as they occur.

The places where the suns rays are perpendicular to the earth on any day.

Various other objects, advantages, and functions of this apparatus will be alluded to in detail in the speciication, or may be readily discerned therefrom.

In the drawings:

Fig. l is a front elevation of a tellurian globe, in accordance with this invention, showing the lglobe in the position which it occupies with reference to the suns rays on March 21st;

Fig. 2 is a top plan View of the same appa- 50 ratus occupying the same position;

Fig. 3 is a iront elevation showing the globe moved to the position which it occupies with reference to the suns rays. on June 21st;

Fig. 4 is a rear elevation of the apparatus oc- 55 cupying the position shown in Fig. 3;

Fig. 5 is a vertical central section of the tellurian showing its operating mechanism;

Fig. 6 is a horizontal section looking downwardly at the plane on line 6-6 of Fig. 5;

Fig. 7 is a section on the line 1-1 of Fig. 1, showing particularly the date dial of the apparatus;

Fig. 8 is an enlarged detail view of a movable transparent meridian bar employed in this invention;

Fig. 9 is a sectional View on the line 9-9 of Fig. 8;

Fig. 10 is an elevation taken at the position of line lil- I of Fig. 4, showing the mounting of a pair of cams for alternative use with the reciprocating time band as explained later;

Fig. ll is an end elevation of a cam, with the aid of which standard time andmean solar time readings may be obtained, and a sun time cam, both keyed on the same shaft, and showing the cam follower pin at the position it should contact the standard time cam on November 3rd;

Fig. 12 is a developed View of a portion of the time band showing its preferred markings; and

Fig. 13 is a side elevation illustrating the manner of ascertaining the time of sunrise at Washington, D. C. on June 21st.

In the drawings, the apparatus shown includes a base I for supporting the apparatus so that it may be placed upon a table top. A circular horizontal frame member 2 (see Figs. 1 and 7) affords a rigid base on which a margin of illumination arch 3 may be mounted. The front wall of this arch will be a plane surface perpendicular to the top surface of the date dial 4 and will be slightly to the rear of the center of the globe, as viewed in Fig. 1.

The reason for disposing the margin of illumination plane slightly to the rear as noted is because it is desired that a projection of this plane upon the glo-be will mark the dividing line between the area of the globe illuminated by the sun and that which is not illuminated. Since the sun has a much larger diameter than the earth, slightly more than one-half of the earths surface will be illuminated. Since the day at the equator is known to be approximately 15 minutes longer than the night, all year round, the vertical plane of the margin of illumination should intersect the equatorial time band, hereinafter f described, in such a way that approximately l more minute spaces on the band will show in front of the margin than back of it.

The date dial 4 rotates about a vertical axis and supports at its center a bracket 5 on which Y hollow sphericalV member and is supported at' is mounted a globeV 6. A hollow shaft 'l is threaded into the bracket and a lock nut 8 rigidly secures this shaft as shown. The globeitself is a the margin of the aperture 9 on v'albushing which extends through the globe from the north pole thereof to the south pole thereof, surrounding the hollow shaft l and permitting the globe to rotate about the shaft as an axis.A The bushing I I has an enlarged head I2 aflixed to the outer surface of the globe in any suitable manner to prevent the globe'from rotating on its bushing,

The axis of the globe should be so mounted'A that it will make an angle of 23 and 27 minutesY with a Vertical `line drawn through the Ycenter of thecglobe and the center of the datedlal per-* This duplicates the Y pendicular to Vthe latter. angular inclination of the earths poles rela'- tively to the plane of the ecliptic. center of the globe will, therefore, be exactly Vertically'above the vertical axis of the date dial.

For the purpose of measuring and indicating time', there isY suspended surrounding'the globe an annular bandrtermed a'time band, generally indicated as I3, VVwhich may betransparent or Vmay -be made of solid metal, butin any event will have the twenty-four hours of the day indicated thereon chronometrically, starting with twelve t t, midnight and being numbered Ythereafter 1*, 2, 3,` c 30' etc., to twelve ,noon and repeating the hour numbers again until twelve'midnight.

While mcst of the figures of the drawings show only fifteen minute time intervals onj the time banden account of the small scale of the'draw-V ing, it is preferred that two minute or one minute intervals be printed on the time band for facilitating accurate determinations as hereinafter explained. Thejupper edge of the time band should be mounted preferably to register with 'the equator on the globe. :It will then preferably be'supported by means of a front armll rigidly connected thereto in any suitable manner, and

a rear arm '|51having bifurcated ends I6 and I1,

these arms joining at a'plate I8v at the north pole Aof theV globe which is provided with a pinY .|29 Vextending down inside of the hollow shaft I any suitable distance. This pin is mountedk so .that Vit may rotate in the shaft 1 but only in a' snug manner so that Ythe time band may be supported free of the outer surface of `the globe to avoid rubbing over the usual map thereon.

Y Among the functions of the time band as employed in this apparatus is'toj make it possible to ascertain standard time and mean solar time `readings for sunrise and sunset of various points of interest on the world map. In order, however, thatthese readings maybe accuraterand show the true standard or true mean rsolar time', it is necessary that the time band be oscillated about its axisin the shaft 'l in accordance with 'the equation of time for each day of the year. The oscillation Yof the-'time band about the polar axis is accom-v plishedby and synchronized with the rotation ofY the date dial.

f A plurality of knobs 20 protruding from the surface ofthe date'dial facilitate the manual rotation of the'dial. t Y

*.The. kbracket'S on which the'globe is mounted will' be so aligned upon the date dial that a plane verticalrto the date Vdial passing through the north and south poles of the globe will pass through the center of the globe, theraxis of the Vdate dial and the date marking for J'une 21s't on A the dial,v with the north Vpole inclined toward lune2lst. The reasonY for this relativeY position- Y L2,102,413V

The exact ing ofthe globe upon the date dialris that'or'i June 21st the north pole Vpoints most directly toward the sun and a plane passing through the North and South Poles of the V.earth perpendicular to the ecliptic would intersect the sun centrally n and bisect the illuminated area of the globe.

When the date dial is so rotated that the June 21st date line registers with the point of the inc dex arrow 2|, a plane passing through kthe polesk of the globe perpendicular to the date dial willV bisect the arch 3 which marks the margin of illumination and in an extension of this plane will be located the imaginary sun.

The position of this imaginary sun relative to the margin or circle of illumination is indicated lJoy the tip v22 of a bar 23 which is firmly secured at Athe upper portion of the arch 3 and depends Vdownwardly therefrom in such a Way that a horl- Zontal ray proceeding from the imaginary sun perpendicular to the circle of illumination and` perpendicular tothe surface of the globe-'will coincidey with the tip of this arm and intersect 1 the center of the globe. Y Y

',Ihe tip ,22 is employed for observing whether onI any date of the year sun time is identical with,l-or faster or slower than standard time at the principal meridians, or mean solar time anywhere. Y

For example, when the April 15th date line Vregisters withv the front index 2| the tip 22, rep-V Y. resenting the Vvertical ray of the sun, will register with the noon meridian on the barV I4, which is a line extending along the middle of the bar intersecting the position of twelve oclock on the timeband.'` 'On that date sun time and standardY clock time at the principal meridians, or mean solartime anywhere will be demonstrated by this Y apparatus to be identical. v

The registration above described, proving that the equation of'time is'zero, occurs four times during the year, namely, on April 15th as above noted, June V14th, September lst vand December 25th. The above statedrfacts agree with theV tables tet forth Vm 'the'.Amerltan Nautictu Alma-V.

nac for the year 1933,: published Aby the United States Naval Observatory at Washington, D. C.V

' It is preferred that the arch 3 bear on its front and rear' sides the legends as shown in jFig. 3

and Fig. 4.

f vThe dates'marked upon the date dial Varearcuate spaces of equal length, comprising 365 equal spaces in the entire date circle on' the date dial.

sume with reference to the imaginary sun of this Y apparatus on any date whose date line is in register with the front indicator arrow 2|, the Vsame. Y position that the earth actually occupies inthe Yuniverse'with reference to the sunrsrays on the 60 observed that the date dial is secured to a rotatable shaft 24 having suitable bearings in the frame ofthe apparatus. Keyed upon the shaft 24 is a Ybeveled gear 25 in mesh with a beveled gear 26,

the `latter being keyed upon the shaft 21. AtV

Y It win be Vfound that a globe mounted in Y Vthe manner described above and shown will asthe' outer end of the shaft 2l', as shown in Figs.

5, and 6, a cam 23 is keyed so that it may rotate with the rotation of shaft 21 in properly coordinated relation with the rotation of the date dial. There being the same number of teeth on the gears 25 and i5, one complete rotation oi' the date dial produces a complete revolution oi the cam. The cam is shaped substantially as shown in 4. A cam follower pin 29 is fixed in the lower end of the arm 3l, which is pivoted at @fi on a bracket 33 supported on the frame member 'She upper end of this arm is formed as shown in Figs. 5 and 6, having a portion 34 paralleling the surface of the globe and provided with a narrow slot 35, in which a pin 3E fixed in the time band snugly yet freely reciprocates, as the date dial rotates. The position of the cam follower pin on the cam 28, illustrated in Fig. 4, is the position which the parts have on June 21st.

The cam fil-l, as shown, has been designed to shii t the time band on any given date in accordance with the average equation of time for that date.

A coil spring connected as shown to the stationary base of the apparatus and to the arm El holds the cam follower pin in close contact with the periphery of the cam.

it may now be readily understood that as the date dial rotated in either direction the eccentricity ci the cam will move the cam follower pin 2t to different distances from the center of the shait 2l', causing the upper end arm 3i to rock to either side of its vertical position. At the same time the inclination of the polar axis will cause the pin St to slide downwardly from the position shown in Fig. 4 to various positions between the ends oi the slot. As the cam causes the upr end of the arm 3i to rock, the time band vill be rotated about the polar axis in such a way that when certain determinations are made, such as will now be described, the time of sunrise and the time of sunset may accurately be determined for any place on the face of the earth for any day of the year. These determinations will now be described.

Assuming that the standard or mean solar time cam .2S is being employed to oscillate the time ban-d it will be remembered that the standard or clock time at any place on the earth is the standard time at the standard meridian in the standard time zone in which the particular place is located. For example, standard time at Washgton, D. C. is the time taken at the '75th meri- .ian west longitude. By placing Washington, 1 C. on the globe map exactly under the sunise margin (see Fig. 13) the intersection of the 5^"h meridian with the time band will denote he time (standard) at which the sun rises at ea level at Washington on the date registering with the iront index The ligure illustrates sunrise for June 21st, which is 4:42 A. M.

Sunset time for the same place and date is ascertained by placing the city under the sunset margin, that is, exactly where the plane of the front wall ci the arch intersects the globe. The time will be read where the 75th meridian intersects the time band.

ne equation of time is defined as the difnce between the hour angle of the true sun and oi the mean sun, or stated otherwise it is the diierence between true sun time and mean solar time. It has been known for many years that true sun time is not uniform, and is subject to such variation that it is impossible or at least impractical to regulate clocks or chronometers to show sun time. They can, however, be regulated to agree with the mean solar time which is therefore adopt-ed as the basis for standard time, sometimes called civil time. Standard time is the same as mean solar time at cach of the principal meridians, such the lGreenwich Meridian, the 15, or the 75 west longitude meridians, etc. At geographical positions between the principal meridians mean solar time and standard time are not the same.

Fig. 3 shows that when June 21st on the date dial is in registry with the front indicator 2l, the tip 22 is slightly to the right of the center dividing line on the bar A meridian passing through tip 22 will intersect the time band at l minute and 2S seconds past l2 oclock. On that day sun time is l minute and 28 seconds slower than mean solar time. This determines that the equation of time on June 21st is minus l minute 28 seconds. If on some other day a meridian passing through the tip 22 should intersect the time band at 4 minutes before l2 oclock it would mean that the equation or time for that day is plus 4 minutes.

Of course, it will be appreciated that the accuracy with which any of these readings may be obtained will depend upon the accuracy employed in manufacturing this apparatus in accordance with the instructions given in this specification. Another factor to be considered will, of course, be the accuracy of the world on the globe itself, it being recognized that the making an accurate terrestrial globe is itself quite a task. The outline of the standard or .mean solar time cam shown in this application has been determined as accurately as possible based upon the globe used in making the original determinations for the shape of the cam. The American Nautical Almanac, which is presumably accurate, is always available in yearly issues for comparison and may be employed to check or determine or alter the shape of the cam used in connection with the levers which oscillate the time band.

The movable meridian bands, usually a pair oi them, are also provided to facilitate the reading of sunrise, sunset and the equation of time. These bands, generally indicated as 33 and 39, will have their ends pivotally connected in any suitable manner with the axis of the globe at the north and south poles. Each movable band is preferably transparent or translucent and will have a central line down its middle which leads accurately from the north to the south pole iollowing a great circle of the globe. As shown, these points will also carry lines and markings indicating degres of north and south latitude for convenience in ascertaining the latitude of localities on the world map.

As shown in Fig. 8, a transparent slide 1li made of Celluloid or equivalent material and embracing the band as shown in Fig. 9 may be positioned on each band 'with a slight friction t, but readily slidable along the band to bring it into registration with any degree of latitude the user may desire. This sliding clamp il will have a line dividing it horizontally so that the band and the slide may be manipulated to be placed accurately over any city or any other place of interest on the world map. The intersection or" the horizontal line on the slide il with the margin or illumi- .nation will enable one to accurately ascertain when any city comes into the circle of illumination at the sunrise position or passes out of it at the sunset position. Following the middle line V604 mately the shape shown in Fig. 11,Y if the appa- Vratus be manufactured'and assembled accu- Y of thermovable meridian band lfrom anyjcityV downto the time band will enable one to ascertain accurately the position of the city relatively Vto the time band. The longitude of any cityVV is easily determined by the movable band whether Y Vor not the globe carries the longitude degree markings If one will ascertain the time in min# utes that the meridian through the cityinter-V Vsects the time band before or after the time reading atthe nearest'standard meridian the difference in degrees of longitude of the two meridians will be the diierence in minutes divided by four. Also when theV sun time cam,=1ater described,'is used the movable meridian placed on any city will indicatedirectly on the time band the exact sun time for that place. n

Directly opposite the Yfront indicator arrow 2lV will be located another indicator V42Y whichv mayY be referred to if one desirespto, know when any season of the year begins in the Southern Hemisphere. This indicator point is of necessity wider than the front indicator due to the fact that sphere.

the seasons in the Southern Hemisphere are generally deemed to begin approximately at the time an opposite season begins in the Northern Hemi- The parting line Ybetween these seasons is indicated on the date dial shown in Fig. '77.

'Howeven in ascertaining the beginning and ending of Ythese seasons one should note thatfwhereas September-23rd marks the beginning of the autumn season in the Northern Hemisphere V(see FigJ) the same monthand date marks approximately the beginning of the spring season in the Southern Hemisphere. Itis not the March' date which appears beside-the indicator 42,whichf season inthe I marks the beginning of thefspring Southern Hemisphere.' Y

Since it may be of particular interest to some users, such as educational institutions; to be able to show and determine the-sun time for variousY places on the globe, I have provided a cam especially designedffor'that purpose to be used inV place of theY standard or mean solar time cam 28 whichjFig. 4 shows.' YIn Fig. 10 there is shown a cam 43 which may be keyed upon the shaft 21. The lever 3| will be provided with a set screw. which will enable one to set the Vcam follower pin Y29 either to the left or to the right so thatY it may follow either but not both of the cams. As the use of this cam 43 is optional, it is not shown in Fig. 4. However, in Fig. 11 the cam 43 is shown mounted on Ythe shaft 21 along with the cam 28, both being keyed on the shaft and occupying the positions relatively to each other which are necessaryto enable one to shift the cam follower pin from one cam to the other andV ascertainY accurately standard at theprincipal meridians or sun time as desired. f Y

For an apparatus made in accordance withVY these drawings the cam 43 will have approxirately. When sun time' cam 43 is used, the time reading at any place on the globe will be computed as 'the hour angle at the meridian through such place, and not the hour angle at any adjoining standardmeridian. Hence thejuncture VYwith thetime band of oneY of the movable merl idians coinciding with therplace will denote the time measured as sun time occuring at'the place at the existing position of the globe. The contour of the sun time Ycam maybe checked for ac- I curacy by comparing the suntime readingsfwith the aforesaid almanac tables'.

ItV willbe notedv upon reference to Fig.f11 that reference to the imaginary sun on that date. Y

dex 21 also points to the sign ofV zodiac inex-Y istence on the particular day in registry with the the contours of theftwo cams intersect one am. other fourY times during V`the year,'namely, on April 15th as indicated, June 14th, September 1st and December 25th. It is on Vthese days that the equation of time is zero, that is, sun time and Vmean solar time ,are vthe same.

In Fig.11 the differences between'the two cams on afew dates areY indicated, such as the February 11th date when the equation of time islminus 14 minutes and 22 seconds, the May 15th Vdate when the equation of time is plus 3 minutes and 48 seconds, the August 1st date whenV the equa-v tion Aof time is minus 6 minutes and 11Y seconds, and November 3rd when the equation ofv time is Vplus 16 minutes and 22 seconds.

When the standard of meansolar time camis employed for causing the time band to oscillatek about the polar axis, it may be observed that the pin 36 describes a path in spacewhich is substantially that of the analemma curve which is often found on terrestrial globes.

Some of the users of this invention may desireV to have a ratchet to control the rotation of the globe so that it may move only from west to east. I have accordingly shown, therefore, in: Fig. 5 a ratchet pawl 45 pivoted at 46 to engage teeth on a ratchet wheel 41 keyed on'the bushing Any suitable spring may be used to hold this f to insure only the desired direction of rotation.

The use'of this ratchet is, of course, optional.

This apparatus provides the followingrindexes, The front index 21 points'to the day of the year on the date dial at which the earth occupies the position in the universe relative toV the suns rays that the' globe inrthis apparatus does with arrcw. y Y Y YThe index 21 on any dateY in registrywith it Vpoints to the season band on the date dial for the existing season in the Northern HemisphereV and also indicates how far in that season the *Y Northern Hemisphere has advanced.

The I 'egisteringof` the rear fixed index'l42fwithj; the season markingon the date dial will denote what season and what portion of the season is in existence inthe Southern Hemisphere on the'day which simultaneously is in registerwith the front index 2|.

of the illumination are fixed indexes which indi-A cate Where the sun appearsltogbe rising or setting, as viewed from the earth.VY Y, The tip 22 marking Ythe point where the vertical ray of the sun strikes the earths surface, is

a fixed index by means of which the equation of i eo 'Y The sunset and sunrise portions of the margins Y time may be Vcomputed on any day of the'year,

as explained heretofore.

The tip 22 also is a fixed index for indicating the declination of the sun Von any date in register with the front index arrow 2 l, On any given date, the degrees of latitude of the parallel on the earth which lies perpendicularly under the VtipY 22 will be the degrees of Vdeclination of the sun for that day. .Vhen the tip is north of the equator the declination is expressed with the plus sign before the number of degrees.

When the sun time cam is used in place of the standard or mean solar time cam 28, different time observations or" course must be then made by means of the apparatus. There will be no equation of time indicated by the apparatus, as the tip R2 will always register with the noon meridian. Since the sun time cam will be employed for ascertaining sun time directly, standard time zones will be ignored, and the time at any place on the globe will be ascertained by the intersection of its own meridian with the time band. When the standard or mean solar time cam is employed, however, the intersection of the standard meridian in the Zone of the particular place denotes the clock time at that place.

The noon meridian, which is the term applied to the bar S4 supporting the time band, is a movable index whose registry with the world map standard meridians shows-the relative position of the earth when it is noon, clock time, in the standard time zone in which the respective meridian is located.

The center line of the midnight meridian band l5 at the rear of the margin of illumination is a movable index whose registry with the standard meridians shows the relative position of the earth when it is midnight in the standard time Zone for each respective standard meridian.

This midnight meridian also, when the international date line marked on the globe passes under it during the diurnal rotation oi the globe, shows the instant that the new day begins. By reference to the time band one can determine what time it is everywhere else on the globe at the instant a new day is born.

The midnight meridian, with the aid of the international date line indicates what area oi' the globe is having its time determined in accordance with the new day and what area is still reading time by the old day. Viewing the apparatus from the rear, one notes that the area from the midnight meridian toward the right as far as the international date line is advancing in the new day, while the area left ci the midnight meridian as far around as the international date line is still in the old day. This midnight index is of course movable with the time band.

The margin of illumination also serves as a xed index to indicate what portion oi the earth is not exposed to the suns rays.

The m rgin ci illumination is also a fixed index which on every date registering with the -front index 2! shows measures the difference in extent between the day and the night at every latitude on the earths surface. For example, it shows that on June Zlst while the day at the equator is about lfi minutes longer than the night, the day at the 49 north latitude is about 6 hours longer than the night.

The top of the arch of the margin oi illumination is a fixed index which readily illustrates and measures the length of the days and nights in the polar regions, showing the days of the year when the sun shines on the arctic circle or the antarctic circle, or points within these circles, during the entire twenty-four hours of the day. By the same index one can ascertain the' days when the sun does not shine within the arctic or antarctic circle.

In order properly and accurately to locate the arch 3 with reference to the globe, the plane of the margin of illumination should be perpendicular, as notedheretofore, to the vertical ray of the imaginary sun, and should so intersect the globe as to divide its equator into two parts oi approximately l7871/2 minutes and 181-521/2 minutes. The larger portion should be in front of the margin of illumination. It is known that the circle ci illumination by the real sun in the saine manner intersects the earths equator, with the larger portion of the earth illuminated. If the time band utilized as described heretofore it will show that the day (period of direct illumi- "on) at the equator will average approximately minutes longer than the night (period of no direct illumination).

Therefore, the average day at the equator will be approximately 12 hours and 'l1/2 minutes long and the average night will be approximately 11 hours and 521/2 minutes long. That this average diierence between day and night at the equator is actually demonstrated by this invention is readily ascertained by looking the time band, which will show l2 hours and "I1/2 minutes approximately in front of the plane or the arch 3 and ll hours and 521/2 minutes back oi the same plane.

In the universe the suns rays envelop slightly more than half of the earth and the margin of the illuminated area is commonly termed by scientists the circle of illumination. This term with this meaning is adopted in this specification and in the claims.

Scientists term as the "vertical ray of the real sun that ray which strikes the earths surface perpendicularly. In this apparatus the vertical ray of the imaginary sun passes through the tip 22, strikes the globe perp-endicularly to its surface and intersects both the center of the globe and the center of the margin of illumination.

All the time computations made with the aid of this apparatus are computed at sea level. Altitude of the land and irregularities in its surface are ignored.

It should be understood that the embodiment herewith shown and described is the form of the invention at present preferred, but that the scope of the invention is not limited to the precise details of construction herein shown but is to be ascertained by reference to the appended claims.

Having shown and described my invention, I claim:

1. In a tellurian apparatus, a terrestrial globe, meridian indicating means on the globe, means for mounting the globe for rotation about its polar axis, means supporting said globe and its mounting for rotation about a vertical axis intersecting the center of the globe and the axis of the globe at an angle of 23-2'7 minutes, a stationary arch surrounding the greater portion oi the globe having a margin whose plane so intersects the equator of the globe as to divide it into two parts of approximately 178-71/2 minutes and 18T-52% minutes, a time band mounted for oscillation bearing hour indicia encircling the globe in a plane parallel to its equator, and means for positioning said band relatively to the arch to show correctly the mean solar time hour angles for the meridians oi the globe for any position of the vglobes polar axis relatively to the plane of said arch.

2. In a tellurian apparatus, a terrestrial globe, meridian indicating means on the globe, means for mounting the globe for rotation about its pola-r axis, means supporting said globe and its mounting for rotation about a vertical axis intersecting the center of the globe and the axis of the globe at an angle of '23 27 minutes, a stationary arch surrounding the lgreater portion oi the globe having a margin Whose plane so intersects the equator of the globe as to divide it into two parts of approximately 17871/2 Aminutes and 181-521/2 Yminutes, a stationary index,V .means bearing chronometrical indicia of the days of theyear operatively connected and coordinated with said supporting means for indicating at the position of said index the days of the year onV which .the earth occupies corresponding positions in 'the suns rays that said globe occupies with reference to an imaginaryY sun at oneside of said arch, a time band mounted'for oscillation bearing hourV indicia encircling the globe in a plane parallel to its equator, and means for positioningVV said band relatively to said arch for showing ycorrectly the mean solar time hour angles of the meridians on any date registering'with said index. Y

3. In a tellurian apparatus, a terrestrial globe, meridian indicating means Yon thev globe, means for mounting rsaid globe for rotation about its polar axis, means for supporting said mounting Vto incline the globe 2327 minutes from its vertical center line, said supporting means being constructed forrotating said mounting Yand the globe Yabout'a vertical axis passing through the center of the globe, a stationary arch surrounding the greater portion of said globe having a plane parallel to said vertical axis of rotation intersecting the equator Yof the globel to divide it into twoparts of approximatelyY 178-71/2 minutes and,v 181-521/2 minutes, a stationary index, y

movable means bearing the daily dates of the year coordinated' with the movement Vof said mounting means about said vertical axis to bring into register with said vindex correctly the daily date on which the earth occupies the same posi- Y tion with reference to the suns circle of illumination that the globe in this apparatus occupies with reference to said plane of said arch, a time band mounted for oscillation bearing hour indicia Y encircling the globeY in a plane parallel toits equator, and means for positioning said band relatively to said arch for showing correctlythe mean solar time hour angles of the meridians on any date registering with said index.

4. In a tellurian apparatus, a circular dial mounted for rotation about a vertical axis and bearingj Vin chronometrica'lV arrangement markings indicating the days of the year, a terrestrial globe mounted on thedial to move bodily there- 1 Vwith with its center intersected by said axis and mounted on the dial to rotate on a polar axis inclined 23-27 minutes to said vertical axis, said globe having Vmeridian indicating means thereon, a stationary vertical arch surrounding the greater portionV of the globe positioned in simulation of the circle of illuminationmade byv the sun upon the earth, a xed index, the day Ymarkings on said dial being coordinated with the position ofthe globe on Ythe dial whereby Vupon registry of any date with said-index the polar axis will assume the'positio-n with reference Y indicating the days of the year, a tenestrial globe mounted with its center intersected by said axis and mounted on the dial for diurnal rotation with its polar axis inclined 23-27 minutes to Ysaid vertical axis in a vertical plane intersecting the June 21st marking on the dial, a stationary arch surrounding the greater Vportion of the globeW positioned in simulation of the rcircle of illumination made by the sun upon the'earth, a band marked with 24 hourly divisions thereon supported on said globe for oscillation about the axis ofsaid globe and extended about the globe parallel to its equator, and a iixed index with which said dial markings are successively registerable.

6. In a tellurian apparatus, a circular Adial mounted for rotation about a vertical raxis vandr bearing in chronometrical arrangement markings indicating the days of the year, a stationary index, a terrestrial globe mounted on the dial with its center intersected by said axis and mounted for diurnal rotation with itsv polar Vaxis inclined 23-27 minutes to said vertical axis, a stationary arch surrounding the greater portion of the globe positionedV in simulation of the Vcircle of y 1 illumination made by the sun upon the earth, a

band marked with 24 hourly divisions thereon supported on said, globe for oscillationV about'the Y polar axis of said globe extending parallel to its equator, land means for oscillating Vsaid. Yband about said polar axiswhereby Ythe intersection of a standard time meridian on the globe-'with the sunrise margin of saidrarch on any day ofV the year Whose date is'in registry with said index' and the intersection of the'v same meridian .withV the timeband Vwill indicate correctlythe standardtime of sunrise at saidV rst intersection.

7. In a tellurian apparatus, a terrestrial globe, Y`

means for mounting the globe for rotationY about its polar axis at an'inclination fromthe vertical simulating the earths inclination to the ecliptic and for further bodily revolution about'a vertical axis intersecting the globes center, a time band surrounding the globe parallel to its equator bearingc'hour indicia andY mounted for oscillation about the polar axis, andra stationary vertical arch surrounding the greater portion ofV theV globe positioned with respect thereto and to an imaginary'sun on .aY line perpendicularto the center of the plane of said arch indicating 'Y the position of the circle of illumination made by the sun upon the earth,l means'operatively connected with the means for bodilyr revolving the globe about its vertical yaxis including an index and indicia representing the days of the year arranged for indicating correctly the date on which the earths polar axis occupies the position'in the suns raysY corresponding to theV position then occupied by the globes polar axis Vwith reference to said imaginary sun at any posi-- tion of bodily revolution of said globe, 'said arch having a margin providing a vertical plane inter-Y secting the equator of the globe dividing the same intoV tWo parts of Yapproximately 178-71/2 min- Vutesrand ,181-521/2 mlnutes'with the larger portion nearer the imaginary sun.

. 8. In a tellurian apparatus, a terrestrial globe,

meridian indicating means on the globe, a time band bearing hour indicia encircling the `globe in a plane parallel to the earths equator,.mea.ns for mounting theglobe for rotation about its polar axis at an inclination from the vertical simulating the earths inclination to the ecliptic and for further bodily revolution about a vertical axis intersecting the globes centrer, a staf tionary vertical arch surrounding the greater portion of the globe positioned with respect thereto and to an imaginary sun on a line pe"- pendicular to the center of the plane of said arch indicating the position, of the circle of illumination made by the sun upon the earth, said arch providing a margin whose vertical plane intersects the equator of the globe to divide it into two parts of approximately 178-71/2 minutes and 18V- 52% minutes with the larger portion nearer to the imaginary sun, a stationary index, means bearing chronometrically arranged markings for the daily dates of the year operatively connected with and coordinated with said means ior revolving the globe to cause the registry of said index with any of said markings to point correctly to the date on which the earth occupies the position relative to the circle of illumination made by the sun that said globe does on said date with reference to said arch, and means or positioning said tune band relatively to the arch to show correctly th-e mean solar time hour angles of the meridia-ns at any position of the globes polar axis relatively to said arch.

9. In a tellurian apparatus, a terrestrial globe, means for mounting the globe for diurnal rotation about its polar axis with said axis inclined 23-27 minutes from its vertical center line and for annual revolution about said center line as an axis, a margin of illumination indicator surrounding the greater portion of the globe positioned to indicate and simulate the position of the circle of illumination upon the earth, said indicator having a vertical plane surface Whose plane intersects the globes equator to divide the same into two partsl approximately of l.78-71/2 minutes and l8i-521/2 minutes, a stationary index, movable means bearing daily date indicia for the year coordinated with the mounting means and the annual revolution of said globe and with said index whereby the positioning of any date in register with said in,- dex will simultaneously position the globe with reference to its margin of illumination identically with the actual position of the earth in its circle of illumination on that date, a time band surrounding the globe parallel to its equator and bearing hour indicia, and means for positioning said band relatively to said arch to show correctly the hour angles of the meridians at any position of the globe relatively to said arch.

10. In a tellurian apparatus, a terrestrial globe, meridian indicating means on the globe, means for mounting the globe for diurnal rotation about its polar axis with said axis inclined 230-27 minutes from its vertical center line and for annual revolution about said center line as an a margin of illumination indicator surrounding the greater portion of the globe positioned to indicate and simulate the position of the circle of illumination upon the earth, a stationary index, movable means bearing daily date indicia for the year coordinated with the mounting means and the annual revolution of said globe and with said index whereby the positioning of any date in register with said index will simultaneously position the globe with rei-- erence to its margin of illumination. identically with the actual position of the earth in its circle of illumination on that date, and a time band marked with 24 hourly divisions thereon supported on said globe for oscillation about its polar axis and extending parallel to its equator.

11. In a tellurian apparatus, a terrestrial globe, meridian indicating means on the globe, means for mounting the globe for diurnal rotation about its polar axis with said axis inclined 23-2'7 minutes from its vertical center line and for annual revolution about said center line as an axis, a margin of illumination indicator surrounding the greater portion of the globe positioned to indicate and simulate the position of the circle of illumination upon the earth, a stationary index, movable means bearing daily date indicia for the year coordinated with the mounting means and the annual revolution of said globe and with said index whereby the positioning of any date in register with said index will simultaneously position the globe with reierence to its margin of illumination identically with the actual position of the earth in its circle of illumination on that date, a time band marked with 24 hourly divisions thereon supported on said globe for oscillation about its polar axis and extending parallel to its equator, and means coordinated with said annual revolution of the globe for oscillating said band whereby said time band will correctly show the mean solar time hour angles for the meridians of the globe on all dates in register with said index.

12. In a tellurian apparatus, a terrestrial globe, meridian indicating means on the globe, means for mounting the globe for diurnal rotation about its polar axis with said axis inclined 23-27 minutes from its vertical center line and for annual revolution about said center line as an axis, a margin of illumination indicator surrounding the greater portion of the globe positioned to indicate and simulate the position of the circle of illumination upon the earth, a

stationary index, movable means bearing daily date indicia for the year coordinated with the mounting means and the annual revolution of said globe and with said index whereby the positioning of any date in register with said index Will simultaneously position the globe with reference to its margin of illumination identically with the actual position of the earth in its circle of illumination on that date, a time band marked with 24 hourly divisions thereon supported on l said globe for oscillation about its polar axis and extending parallel to its equator, and means cooperating with said time band and coordinated with the positions of the globe in its said annual revolution for positioning said time band to show correctly the mean solar time hour angles for the meridians of the globe on all dates registering With said index.

13. In a tellurian apparatus, a terrestrial globe, means for mounting the globe for diurnal rotation about its polar axis with said axis inclined 23-27 minutes from its vertical center line and for annual revolution about said center line as an axis, a margin of illumination indicator surrounding the greater portion of the globe positioned to indicate and simulate the position of the circle of illumination upon the earth, a stationary index, movable means bearing daily date indicia for the year coordinated with the mounting means and the annual revolution of said globe and with said index whereby the positioning of any date in register with said index will simultaneously position the globe with reference to its margin of illumination identically with the actual position of the earth in its circle of illumination on that date, a time band marked with 24 hourly divisions thereon supported on said globe for oscillation about its polar axis and extending parallel to its equator, said indicator having a marginal surface Whose vertical plane divides the equator .into two parts of 178-7'1/2 minutes and 181-'521/2 minutes with the larger portion in the area of illumination, means cooperating with said time bandY and coordinated with the positions of the globe YinY its said annual revo- Alutio'n for positioning said time 'band to show 'correctly' the meanV solar time hourfangles for Vpolar axis, means supporting said Yglobe and its mounting for rotation about atvertical axis intersectingV the center of f the globey and the polar Vaxis of the globe at an angle of 23-27 minutes,

Va stationary arch surrounding the greater portion of theV globehaving Ya margin Whose plane so f intersects the equator of the globe as to divide it into two parts approximately of 178-71/2 minutes and 181-521/2 minutes', a time band bear- ,ing hour indicia encircling the Vglobe in a'plane parallel to the globes equator, and a vertical ray indicator mounted adjacent the globeisrsurface Cil Yco

onY a line horizontally vextending through the globes center perpendicularly to said plane, said indicator beingradjacentthe larger portionk of the globe as determined by'said intersection.

i 15. In a tellurian apparatus, a terrestrial globe,

`means supporting` the globe with its polar axisl inclined 23-727 minutes from the vertical line extending through its center, means for rotating said supporting means about a vertical axis extending through the center of the globe, a time `band bearing hour indicia encircling the globe in a plane perpendicular to the globes polar axis and mounted for oscillation in said plane, and means operatively connected and adjusted with saidrrotating means for oscillating said band to Vshow correctly the hour angles of Athe globes meridians in all positions during said rotation with reference to an yimaginary sun lying on a horizontal line extending through the center of the globe.

16. VIn a tellurian apparatus, a circular date dial bearing daily date indicia for the year Vmounted for rotation aboutv a central vertical axis, a terrestrial globe supported on said dial with its center intersected bythe axis of the dial and mounted for rotation on its polar axis with the latter inclined 23-27 minutes fromY said vertical axis, the mounting for said globe being xed on said dial, means partially sur-V rounding the globe having'a margin lying in a vertical planeY intersecting the equator ofY the globe'to divide the same into two parts approximatelyi of 178-71/2 minutes and `18.1"--521/2 minutes, a xed index with which the day 'markings on said dial may be rotated into registration,

`the globe being mounted on the dial so that' a vertical plane passing through its polar axis will intersect the June 21st marking on said-dial, a time band encircling the globe in a plane perpendicular to theY polar axis bearing twenty-four equal hourly Vmarkings thereon and mounted for oscillation in said plane, and means operated by and coordinated with the rotation of said dial for oscillating Vsaid band to show correctly the hour kangles of the globesmeridians upon any 'Y date in registration with said index.

17. In a tellurian apparatus, a terrestrial globe, Y means supportingV the globe with its polar axis inclinedY 23--27 kminutes fromv the .vertical line extending through its center, said means Vbeing rotatable about said vertical line as an axis, a time band encircling the globe in a plane perpendicular to the'globes polar axis and mounted for oscillation in said plane and bearing markings indicating the twenty-four hours of the day, and

means for oscillating said band cperativelycon nected and synchronized with said supporting means for rotationtherewith including a cam and Y Y a bell crankV oscillated by saidV cam, said crank having a vertical slot, said handhaving apin Y riding in said slot, said oscillatingmeans being constructed and arranged to oscillate the band to show correctly Ythe hour angles of the globes 1 meridians in Yall positions of the annual rota-` Y tion of the globe with reference to an' imaginary sun lying on a horizontal line extending'through the center of the globe. Y Y

Y 18. In a tellurian apparatus, a terrestrial globe, means vsupporting the globe with its polar axis inclined 2327 minutes from the Vertical line ex- VVtendingfthrough its center, means for rotating said supporting means about a vertical axis extending through the center of the globe, a time band bearing Vhour indicia Vencircling the globe and mounted for oscillation ina plane perpendicular to the polar axis, and meansrcooper'able with 'said time yband fordetermining the correct position o f the time band with reference to`an imaginary circle of illumination in any Yposition of the polar axis of the globe relative to said Y circle.

19. In a tellurian apparatus, a terrestrial globe, means supporting the globe with its polar axis inclined 23-27 minutes from the Verticatline extending through its center, said supporting means being rotatable about a vertical axis ex'- Y' f tending vthrough the center Vofthe globe, meansV mounted adjacent the globe'for indicating cor'- rectly the position of the circle of illumination ,Y

made by an imaginary sun positioned at one side of the center of said globe, a time band surrounding the globe parallel to its equator and bearing hour/indicia, Vand means operated by saidV supporting means during its rotation for oscillating said time'band in accordance with the equation of' time for showing correctly on the time band the mean solar time hour angles of the globes meridians in all positions of its rotation about said Vertical axis. y

20. In a tellurian apparatus, a terrestrial globe, means supporting the globe with its polar axis inclined 23-27 minutes-fromthe vertical line extending through its'center, vsaid supporting means being rotatable about a vertical axis extending through the center of the globe, means" Vmounted adjacent the globe for indicating correctly the positionof the circle of illumination made by an imaginary sun positioned at one side of the center of said globe, and Va time band 'surrounding the globe parallel to itsequator and 

